document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208716>Question 208716</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a three-person, 100-meter race,Amy finishes 10 meters ahead of Brooke and 20 meters ahead of Carol. Assuming constant speeds for each runner, by how many meters did Brooke finish ahead of Carol? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157904 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=157904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a three-person, 100-meter race,Amy finishes 10 meters ahead of Brooke and 20 meters ahead of Carol. <BR>\n" );
document.write( "Assuming constant speeds for each runner, by how many meters did Brooke finish ahead of Carol?<BR>\n" );
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document.write( "Let t = A's time to run 100 meters<BR>\n" );
document.write( "then<BR>\n" );
document.write( "During this time; B ran 90m and C ran 80m<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find their speed: speed = Dist/time<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2Ft ALIGN=MIDDLE  ALT=\"90%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = B's speed<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2Ft ALIGN=MIDDLE  ALT=\"80%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = C's speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find B's time to run 100 yds (time = dist/speed)<BR>\n" );
document.write( "B's time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F%2890%2Ft%29 ALIGN=MIDDLE  ALT=\"100%2F%2890%2Ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 100 * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F90%29 ALIGN=MIDDLE  ALT=\"t%2F90%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100t%29%2F90 ALIGN=MIDDLE  ALT=\"%28100t%29%2F90\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810t%29%2F9 ALIGN=MIDDLE  ALT=\"%2810t%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find how far C runs in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810t%29%2F9 ALIGN=MIDDLE  ALT=\"%2810t%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >; (Dist = speed * time)<BR>\n" );
document.write( "C's dist = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2Ft ALIGN=MIDDLE  ALT=\"80%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810t%29%2F9 ALIGN=MIDDLE  ALT=\"%2810t%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel t:<BR>\n" );
document.write( "80*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%29%2F9 ALIGN=MIDDLE  ALT=\"%2810%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=800%2F9 ALIGN=MIDDLE  ALT=\"800%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 88.89 ft<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "100 - 88.89 = 11.11 meters; C is behind when B crosses the finish line<BR>\n" );
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document.write( ":<BR>\n" );
document.write( "Hope this makes sense to you? </SPAN>\n" );
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